The Cauchy problem of f ( R ) gravity

2007/09/30 by Nicolas Lanahan-Tremblay, Valerio Faraoni · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/22/024

published as Class.Quant.Grav.24:5667-5680,2007 · 16 latex pages, to appear in Class. Quantum Grav; typographical errors corrected, new references added

arxiv created 2007/10/07 · openalex publication_date 2007/11/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The initial value problem of metric and Palatini f(R)gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity. The Cauchy problem is well-formulated for metric f(R)gravity in the presence of matter and well-posed in vacuo. For Palatini f(R)gravity, instead, the Cauchy problem is not well-formulated.

Citations

• Newtonian limit off(R)gravity
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• TWO-LOOP APPROACH TO THE EFFECTIVE ACTION IN QUANTUM GRAVITY
• Newton law corrections and instabilities in f(R) gravity with the effective cosmological constant epoch
• Conditions for the cosmological viability off(R)dark energy models
• Mach's Principle and a Relativistic Theory of Gravitation
• Rippled cosmological dark matter from a damped oscillating Newton constant
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• The Gravity Lagrangian According to Solar System Experiments
• Ghost constraints on modified gravity
• Stability of modified gravity models
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Solar system testsdorule out1/Rgravity
• Renormalization of higher-derivative quantum gravity

Cited by

• A comment on "The Cauchy problem of f(R)- gravity", Class. Quantum Grav., 24, 5667 (2007), arXiv:0709.4414
• Unifying Einstein and Palatini gravities
• Hyperbolicity of scalar-tensor theories of gravity